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Journal Article

Floquet Hamiltonian approach for dynamics in short and intense laser pulses

MPS-Authors
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Medišauskas,  Lukas
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Saalmann,  Ulf
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Rost,  Jan M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource

http://iopscience.iop.org/article/10.1088/1361-6455/aaef42/meta
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1707.00042.pdf
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Citation

Medišauskas, L., Saalmann, U., & Rost, J. M. (2018). Floquet Hamiltonian approach for dynamics in short and intense laser pulses. Journal of Physics B, 52(1): 015602. doi:10.1088/1361-6455/aaef42.


Cite as: https://hdl.handle.net/21.11116/0000-0002-CE35-B
Abstract
We present a time-dependent Floquet method for short pulses and arbitrary laser frequencies that uses the cycle-averaged Kramers-Henneberger basis. By means of a particular plane-wave expansion we arrive at a time-dependent Schrodinger equation governed by a Floquet Hamiltonian, which consists of convolutions of momentum and Fourier components. A dedicated numerical treatment of these convolutions, based on Toeplitz matrices and fast Fourier transformations, allows for an efficient time-propagation of large Floquet expansions. Three illustrative cases of ionization with different photon energies are analyzed, where the envelope of a short and intense pulse is crucial to the underlying dynamics.